Operator algebras I - NRFA082

• Title: Operátorové algebry I
• Guaranteed by: Department of Mathematical Analysis (32-KMA)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2019
• Semester: winter
• E-Credits: 4
• Hours per week, examination: winter s.:2/0, Ex [HT]
• Capacity: unlimited
• Min. number of students: unlimited
• 4EU+: no
• Virtual mobility / capacity: no
• State of the course: cancelled
• Language: Czech
• Teaching methods: full-time
• Teaching methods: full-time
• Class: DS, matematická analýza
• Classification: Mathematics > Functional Analysis, Topology and Category
• Interchangeability : NMMA561
• Is incompatible with: NMMA561
• Is interchangeable with: NMMA561

Annotation

English

Last update: T_KMA (20.05.2009)

Spaces of operators, Banach algebras and their representations

Czech

Last update: G_M (07.04.2011)

C*-algebry, prostory operátorů, von Neumannovy algebry

Syllabus

English

Last update: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (15.02.2012)

C* algebras - definition, properties, automatic continuity, positive elements, approximate unit, basic properties of spaces of operators, operator topologies, duality, von Neumann algebras, von Neumann bicommutant theorem, Kaplansky density theorem

Czech

Last update: prof. RNDr. Ondřej Kalenda, Ph.D., DSc. (15.02.2012)

C* algebry - definice, vlastnosti, automatická spojitost, nezáporné prvky, aproximativní jednotka, základní vlastnosti prostoru operátorů, operátorové topologie, dualita, von Neumannovy algebry, von Neumannova věta o bikomutantu, Kaplanského věta o hustotě.